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gogolik [260]
3 years ago
13

Write the quadratic equation whose roots are -2 and 1, and whose leading coefficient is 4 .

Mathematics
1 answer:
Kaylis [27]3 years ago
7 0

Answer: the equation is

4x^2 + 4x - 12

Step-by-step explanation:

A quadratic equation is an equation in which the highest power of the unknown is 2.

The general form of a quadratic equation is expressed as

ax^2 + bx + c

Where

a is the leading coefficient

c is a constant

Assuming we want to write the quadratic equation in x, from the information given, the roots which are given are -2 and 1 and the leading coefficient is 4.

Therefore, the linear factors of the quadratic equation will be (x+2) and (x-1)

the equation becomes

(x+2)(x-1)

= x^2 - x +2x - 3

= x^2 + x - 3

Given a leading coefficient of 4, we will multiply the quadratic expression by 4. It becomes

4(x^2 + x - 3)

= 4x^2 + 4x - 12

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Solve the inequality 5(2x + 1) &lt; 10.<br> х&lt; 1/2<br> x&gt; 1/2<br> х&lt; 3/2<br> x&gt; 3/2
Maurinko [17]

Answer:

x < 1/2

Step-by-step explanation:

5(2x + 1) < 10

Divide each side by 5

5/5(2x + 1) < 10/5

2x+1 < 2

Subtract 1 from each side

2x+1-1 < 2-1

2x <1

Divide each side by 2

2x/2 <1/2

x < 1/2

4 0
3 years ago
Read 2 more answers
8) Which square root is NOT a whole number? A) 121 B) 144 C) 169 D) 184
lyudmila [28]
D
a number times itself don't equals 184
11×11= 121
12×12=144
13×13=169
4 0
3 years ago
Read 2 more answers
Can you help me please
notsponge [240]

9514 1404 393

Answer:

  1. reflection across the origin
  2. rotation 180° about the origin
  3. reflection across the x-axis, and translation right 6 units

Step-by-step explanation:

The figure and its image are symmetrical about the origin, so the following three transformations are equivalent:

  1. reflection across the origin

  2. rotation 180° about the origin

  3. reflection across both x- and y-axes, in either order

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The figure itself has left-right symmetry, so only one reflection is necessary to map the figure to its image: reflection across a horizontal line. Following that reflection, the image can be put into place by an appropriate translation. One such pair of transformations is ...

  4. reflection across the x-axis and translation 6 units right, in either order

8 0
3 years ago
#24 Help needed :P thanks
alukav5142 [94]
Have you got your answer yet?

7 0
3 years ago
Name the geometric term(s) modeled by each object
anyanavicka [17]

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The geometric term(s) modeled by each object are Hexagon, point, line, line, and plane, respectively.

<h3>What is a line?</h3>

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. A line segment is also a line but the line with finite length and having fixed endpoints.

The geometric term(s) modeled by each object

9. Stop sign ⇒ Hexagon

10. Tip of pin ⇒ Point

11. Strings of a violin ⇒ Line

12. A car antenna ⇒ Line

13. A library card ⇒ Plane

Hence, The geometric term(s) modeled by each object are Hexagon, point, line, line, and plane, respectively.

Learn more about Line here:

brainly.com/question/21511618

#SPJ1

3 0
1 year ago
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